The Poland international, who was also tracked by Chelsea and Manchester United recently, appears to be getting restless in Bavaria, having hit out at the club’s transfer strategy over the summer window and citing a lack of ambition.

Lewandowski was unhappy that Pierre-Emerick Aubameyang beat him to the Golden Boot (Pictures: Getty)

And now Bild claim the striker has taken up Spanish lessons, adding further fuel to the speculation that he could agitate for a move to the Champions League holders in the coming months.

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The 29-year-old is desperate to claim European glory and is becoming increasingly concerned that his goal cannot be fulfilled at Bayern.

Real Madrid are short up front after Karim Benzema’s injury setback (Picture: Getty)

But Real have won the competition in three of the last four seasons, and there is no club in European football who can offer him a better shot at winning the Champions League before he is past his peak.

For their part, Real are known to be keen to bolster their frontline after an injury to Karim Benzema left them reliant on youngster Borja Mayoral, who was on loan at Wolfsburg last year.

Lewandowski missed out on the Bundesliga Golden Boot last season and was reportedly unhappy that his Bayern teammates did not do more to ensure he beat Pierre-Emerick Aubameyang.

Lewandowski already has six Premier League goals this season, in just five games (Picture: Getty)

He now believes Bayern no longer have the right mentality to challenge Europe’s elite and has been critical of Carlo Ancelotti’s reign.

Speaking to Der Spiegel, he said: ‘Bayern has to come up with something new and creative, if the club wants to keep luring world class players to Munich. And if you want to keep up at the very highest level, you need these players’ quality.’